Hi, I had a CS in october and will be having another this year in December. It was fantastic, DH got to cut the cord, bub was wrapped and put on my chest while I was stitched and glued. Then in recovery we did skin to skin. Bub was with me the whole time.
Back in my room DH bathed bub with the midwife then more skin to skin.
You are naked other than the gown for the CS. Back in the room the midwife helped me put a top on and they covered the bottom half with sheets. I just laid on some sort of absorbent pads which the midwives changed.
My CS was at 6pm and I was up at 8am the next morning, I was very sore but able to shower and dress myself. Didn't have much bleeding at all, they use a suction thing when you are cut open to clean out a lot of blood etc which reduces bleeding.
This was my experience at a private hospital (John Flynn) and can't praise the staff enough, they were all fantastic.
Hope your CS is just as memorable!